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2824360340 = 225280150417
BaseRepresentation
bin1010100001011000…
…0101000110010100
321021211112101000112
42220112011012110
521241014012330
61144131502152
7126663444464
oct25026050624
97254471015
102824360340
11121a3067aa
12669a57958
133601a9249
141cb165ba4
15117e4c795
hexa8585194

2824360340 has 24 divisors (see below), whose sum is σ = 5933391912. Its totient is φ = 1129318400.

The previous prime is 2824360313. The next prime is 2824360361. The reversal of 2824360340 is 430634282.

It can be written as a sum of positive squares in 4 ways, for example, as 157051024 + 2667309316 = 12532^2 + 51646^2 .

It is a super-2 number, since 2×28243603402 = 15954022660329831200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2824360297 and 2824360306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30812 + ... + 81228.

It is an arithmetic number, because the mean of its divisors is an integer number (247224663).

Almost surely, 22824360340 is an apocalyptic number.

2824360340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2824360340 is an abundant number, since it is smaller than the sum of its proper divisors (3109031572).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2824360340 is a wasteful number, since it uses less digits than its factorization.

2824360340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53227 (or 53225 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 2824360340 is about 53144.7113078997. The cubic root of 2824360340 is about 1413.5354398042.

The spelling of 2824360340 in words is "two billion, eight hundred twenty-four million, three hundred sixty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 2801 5602 11204 14005 28010 50417 56020 100834 201668 252085 504170 1008340 141218017 282436034 564872068 706090085 1412180170 2824360340